Higher (2nd)-order polarization-Wigner function for `even' entangled bi-modal coherent states

TL;DR

This paper introduces a higher-order Wigner distribution function for entangled bi-modal coherent states, revealing non-Gaussian features and interference effects in quantum phase space.

Contribution

It generalizes the kernel operator in Cahill-Glauber correspondence to define a second-order polarization-Wigner function for entangled states.

Findings

Displays oscillating three-peak structure in phase space

Shows the distribution is non-Gaussian and non-negative

Reveals interference effects between bi-modes

Abstract

Higher (2nd)-order Wigner distribution function in quantum phase space for entangled bi-modal coherent states, a representative of higher (2nd)-order optical-polarization, is introduced by generalizing kernel (transiting) operator in Cahill-Glauber C(s)-correspondence rule. The nature is analyzed which reveals the occurrence of oscillating three peaks: 'two' for individual bi-modes and third for interference between modes. Also, the graphics of 2nd-order polarization-Wigner distribution function, incisively, demonstrates that it is of non-Gaussian nature attaining non-negative values in quantum phase space.